4045414401 has 32 divisors (see below), whose sum is σ = 7252289280. Its totient is φ = 2175683328.

The previous prime is 4045414379. The next prime is 4045414403. The reversal of 4045414401 is 1044145404.

It is not a de Polignac number, because 4045414401 - 2¹⁵ = 4045381633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4045414403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626326 + ... + 632751.

It is an arithmetic number, because the mean of its divisors is an integer number (226634040).

Almost surely, 2^4045414401 is an apocalyptic number.

It is an amenable number.

4045414401 is a deficient number, since it is larger than the sum of its proper divisors (3206874879).

4045414401 is a wasteful number, since it uses less digits than its factorization.

4045414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259110 (or 1259104 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4045414401 is about 63603.5722345844. The cubic root of 4045414401 is about 1593.3860307680.

Adding to 4045414401 its reverse (1044145404), we get a palindrome (5089559805).

The spelling of 4045414401 in words is "four billion, forty-five million, four hundred fourteen thousand, four hundred one".